Q-3 a-Change the polar equation 5r =sin(0) to Cartesian equation (an equation that only contains x and y terms). b- Change the Cartesian equation x²+3x+y=6 to polar equation (an equation that only contains r and 0 terms)

Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. ²=5y (Type an…

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Q: 4- The equivalent of Cartesian equation (x + = 1) in polar equationis:

A: Given: Cartesian equation:   To determine: equivalent polar equation.

Q: Transform the polar equation r = 3 sin(0) to an equation in x and y. %3D

A: Converting the polar equation to rectangular equation

Q: A Cartesian equation for the polar equation r 8 can be written as: %3D x2 + y?

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 11 r= (Type…

A: Given  X = 11

Q: 24/ Replace the polar equation r. sin (0 +") = 2 to Cartesian equation -(G+ ns./ = 2

A: The given polar equation is r·sinθ+π6=2 .................(1)

Q: I'm pretty sure it's c but can you help

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Q: Express in polar coordinates the point having rectangular coordinates (3,-3).

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Q: 4) Convert (4, 4) and y = x into polar coordinates, and convert (-2, 4) and r = sec 0 into Cartesian…

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Q: 2 2 Convert the equation x+y-16 = 0 to polar form. %3D Then solve the resulting equation for r.

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Q: 1. Rewrite the Cartesian equation y = 3x +2 as a polar equation. 2. Rewrite the Cartesian equation…

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Q: Convert the polar equation θ = 3π/4 to a rectangular equation in x and y.

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Q: Convert the Cartesian equation x² + y² -2x= 0 to a polar equation. x2 + y2 -2x 0= O 2=-2 cos e Or= 2…

A: Given artesian equation,x2+y2-2x=0Put…

Q: Replace the polar equation with an equivalent Cartesian equation. r² = 44r cos 0 (x-22)² + y²-0…

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Q: r = 2 cos 0 – sin 0 by the equivalent Cartesian Replace the polar equation equation. Then describe…

A: Polar coordinates transformation to Cartesian coordinates

Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 3 cos 0…

A: Given, r=3cosθ

Q: Convert the rectangular equation to polar form, (x² + y²)² – 9(x²2 – y²) = 0 -

A: We will use the formula

Q: Find the polar equation of 3x2=4-3y2

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Q: Convert the polar equation r² = 2 cos (-20) to a Cartesian equation. (x² + y²)² = 2x²-2y² (x² + y²)²…

A: In this question, we want to convert the polar equation in Cartesian equation.

Q: 14. Restate -4x = -5y in polar form. Present your answer solved for r.

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Q: he Cartesian equation (x – 10)2 + y² = 0 in polar form. %3D

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Q: Convert to polar coordinates with r,≥0 and 0≤theta<2

A: Given query is to find the the equivalent polar coordinates.

Q: Plot six points satisfying the polar equation r= 4. 3 2.

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Q: 2. Transform the polar equation into a Cartesian equation. 4 r = 4 + sin 0

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Q: 2 2 Write the equation in polar form: x + y = 225 %3D

A: Given,               x2+y2=225

Q: 11 Convert the Cartesian equation y = 5 to a polar equation. r = 5cscθ r = 5secθ r = 5sinθ

A: We have to find the polar form

Q: Convert the polar equation to a rectangular equation. 1- cos 0 ..... Simplify the rectangular…

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Q: Convert (x + 2)² + y² = 4 to polar form. Drag and drop an answer to each box to correctly complete…

A: Let's find.

Q: Q5/ Change the polar equation 2r = 2 + cos 0.(2r-1) to Cartesian equation Ans./y²-3x² - 4x-1=0

A: To find- Change the polar equation 2r = 2 + cosθ·2r - 1 to Cartesian equation.

Q: Write the equations that are used to express a point withCartesian coordinates (x, y) in polar…

A: To convert Cartesian coordinates x,y in polar coordinates. In polar coordinates point is given r,θ.…

Q: 8 Convert the polar equation r 2 = -2 sin 2θ to a Cartesian equation. x2 + y2 = 2 xy ( x2 + y2) 2…

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Q: Convert the equation y = x^-2 into a polar equation.   I'm getting confused on the inverse…

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Q: 2 Q3: Discuss the symmetry and plot the locus of polar equation r 1-cose

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Q: Match the polar equation with the graphs labeled I-VI. Use the table to help you. r = 1 + 2 cos(0)…

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Q: Convert the rectangular equation to a polar equation that expresses r in terms of 0. X= 11 (Type an…

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Q: The polar equation equivalent of Cartesian equation x² + (y - 3)2 = 9 is r = 6cos0

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Q: (3. 7/7) as Cartesian coordinates. Express the polar coordinates (3,

A: We have to express (3 , π/2) in Cartesian coordinates.

Q: Convert the Cartesian equation to a Polar equation. Express your answer as r = 2y –x² = 2y– 3x

A: The objective is to convert cartesian equation to polar equation.

Q: 4. Consider the point with rectangular coordinates (1, 1). State the coordinates of the point in…

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Q: Q5/Change the polar equation 2r = 2 + cos8.(2r - 1) to Cartesian equation

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Q: Here are the problems for you to answer. Work on your solution carefully to arrive at the correct…

A: We will find out the required value.

Q: 4cscθ

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Q: . (i) Convert the equation (x – 2)2 + y? = 4 from cartesian to polar (ii) Convert the equation r² =…

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Q: a) -7root2-i7root2 convert to polar form  b) 3+2i convert to polar form in EXACT values. NOT…

A: The cartesian form of the complex number is given as  z = x +iy And  Polar form is given by  z =…

Q: 2. Convert from a rectangular equation to a polar equation. x = 2y2

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Q: b) Change the equation from polar form tao rectangular form. 2 1- cos0

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Q: Convert the rectangular equation 2x - 4y = 5 into polar form. 1 O r = 2 cos 0-4 sin 0 5 Or 2 sin 0-4…

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Q: Convert the rectangular equation to a polar equation. Express r in terms of 0. 5x + y = 9 (Type an…

A: Convert the rectangular equation to a polar equation.

Q: 5T and 3, 3 Plot the points with polar coordinates -5, using the pencil. 生3

A: Plot the points-5,-5π3 and 3,π6     Polar coordinatesx=r cosθy=r sinθ

Q: 3. CHOOSE ONE. Assume that r0. 5x (a) Transform the Cartesian equation = 5x – 5xy into a polar…

A: A)5x2x2+2y2=5x-5xy12x2+2y2=1-yx=r cosθ, y=r sinθx2+y2=r212r2=1-1(rsinθ)r sinθ=1-12r22r2-1=2r3…